The selling price of article P is Rs. 228 more than that of article Q. Article Q is marked 45% above its cost price and while selling ‘y’ % discount is given on it. The cost price of article P is Rs. 500 more than that of article Q. The ratio between the selling price and cost price of article P is 17:15 respectively. If the profit on article P while selling is Rs. 600, then find out the value of ‘y’.

Solution

The ratio between the selling price and cost price of article P is 17:15 respectively. Let’s assume the selling price and cost price of article P is ‘17z‘ and ‘15z‘ respectively. If the profit on article P while selling is Rs. 600. selling price of article P - cost price of article P = profit on article P 17z-15z = 600 2z = 600 z = 300 cost price of article P = 15z = 15x300 = Rs. 4500 The selling price of article P is Rs. 228 more than that of article Q. 17z = 228 + (selling price of article Q) Put the value of ‘z’ in the above equation. 17x300 = 228 + (selling price of article Q) 5100 = 228 + (selling price of article Q) selling price of article Q = (5100-228) = Rs. 4872 The cost price of article P is Rs. 500 more than that of article Q. cost price of article Q = Rs. 4500 - Rs. 500 = Rs. 4000 Article Q is marked 45% above its cost price and while selling ‘y’ % discount is given on it. MRP of Article Q = Rs. 4000 of (100+45)% = Rs. 4000 of 145% = Rs. 5800 So 5800 of (100-y)% = 4872 [5800 x (100-y)]/100 = 4872 58(100-y) = 4872 (100-y) = 84 y = 100-84 y = 16 Hence option (e) is the correct answer.